已知定義域[-3，3]的偶函數(shù)f(x)在[0，3]上為增函數(shù)，且f（1/3）=0，解不等式f(1/(x-1))>0奇偶性和單調性結合問題（高一數(shù)學）

熱心網(wǎng)友

偶函數(shù)f(x)在[0，3]上為增函數(shù)，且f（1/3）=0,又f(1/(x-1))0所以31/(x-1)1/3或-31/(x-1)-1/3解得:2/3x-2或4/3x4

熱心網(wǎng)友

f(1/(x-1))f(1/3)=f(-1/3)==1. 遞增3=1/(x-1)1/3 ==4/3-2